Spreading speeds and travelling waves for non-monotone time-delayed lattice equations

نویسندگان

  • JIAN FANG
  • JUNJIE WEI
چکیده

A non-monotone time-delayed lattice system with global interaction is considered. The spreading speed, including the upward convergence, is established by comparison arguments and a fluctuation method. The existence of travelling waves is obtained by Schauder’s fixed-point theorem and a limiting process. It turns out that the minimal wave speed of travelling waves coincides with the spreading speed.

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تاریخ انتشار 2010